What is the integrable form of et dx? e-e-X

Q: Find aw/as and aw/Ət using the appropriate Chain Rule. Function Values w = sin(5x + 6y) x = s + t, y...

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Q: Work Problems a) Evaluate the integral (4x + 1) ln x dx b) Evaluate the integral fou | 6 tan" x sec“...

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Q: Sin/cos

A: Given query is to simplify the expression.

Q: 1. The polynomial function f has exactly one positive zero. Approximate the zero correct to two deci...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: Given cost and price (demand) functions C(q) = 100g + 42,000 and p(g) = - 2.1g + 870, what is the ma...

A: Given

Q: An arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft. tall is w...

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Q: ex dx 8. 1+ e2x

A: Given; I=∫ex1+e2xdx   ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: Use linear approximation, i.e. the tangent line, to approximate v25.4 as follows: Let f(x) = Vx. Fin...

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Q: dx J V3 – 2x – x2

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Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

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Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

Q: a) [ „J: Evaluate the integral (4x + 1) In x dx b) ' . Evaluate the integral fou 6 tan' x sec* x dx ...

A: a) Given:       ∫4x+1ln x dx Integrate by parts: ∫fg'=fg-∫f'g where f=ln x , g'=4x+1           f'=1x...

Q: Consider f(x)=ax+xln(bx)f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(...

A: f'(x)=a+1+logbx Increasing 

Q: Find f'(x). f(x) = (5 + In x)° 6. f'(x) =D %3D

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Q: 2+x 9 y = Arctan( ) 1- 2x 10. x = cos't ; y = sin't

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Q: 6. sin x cos°x dx

A: We need to evaluate integral.

Q: Find the centroid of the region shown in the figure. 1 1

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Q: Using product rule to find f’(1) in f(x)=4x^4(e^x)

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Q: T(z, Y, 2) = 1500e 2y

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Q: sinh (5) = %3D (A) 5 + V26 (B) In(5 + /24) (C) In(5 + v26) (D) 8. (E) 5

A: Use the definition of hyperbolic of sine function. 

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

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Q: 1 Find the area of the region bounded by the curve y=1--x² and the x-axis. А 8 square units 6 square...

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Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: Consider f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(x)= ------- Bas...

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Q: In Exercises 21-24, an implicitly defined function of x, y and z is given along with a point P that ...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect...

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

Q: The Taylor series expansion is given by: 00 (-1)" sin x= 2n +1 (2n + 1)! n= 0 Evaluate sin 44° using...

A: We will find all the asked values using Taylor series expansion as following.

Q: Question 7 Which of the following is an improper integral? (А) -dx -4 x2-x - 2 --X In (3e) xe cos (x...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: If   C(t)=50te^−0.5t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours ...

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Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(q) = - 3q +2400q, what is the min...

A: Given query is to find minimum marginal cost.

Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

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Q: QUESTION 5 Use the inverse transforms of some basic functions to find the given inverse transform. 1...

A: We know that, Laplace inverse of {1s}= 1 and Laplace inverse of {ss2+a2} = cos(at).

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?. where k is a positi...

A: The given question has been solved in detail.

Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

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Q: Question 2 Write a Riemann sum corresponding to the following definite sin x xp- 1+ x5

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Q: Find the equation of the curve for which -6-9x and which passes through the points (0,-1) and (2, 3)...

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Q: 1. f (x) = 5x – 4 2. f (x) = 4x? + 3x – 6 2x+7 3. f (x) = 3x

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Q: (1) Use the divergence theorem to evaluate F-S. where F (z, y, 2) = zzi – j+4:k and S is the surface...

A: we use divergence theorem for finding the surface integral.

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square ...

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Q: Find the solution of the differential equation with the given initial condition. dy 2xez? y(1) = 2 d...

A: This question is based on solution of differential equation.

Q: Which of the following is an improper integral? In3e A xe COSX dr хе -2 S In(x++1) dx В dx 2x + 8 D ...

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Q: a) Find the length of the curve y(x) = x3/2/3- a/2, 3< x < 4. b) Find the area of the surface obtain...

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Q: Question 3 Find the change in y = 2x -3 if the x changes from 3.3 to 3.5. А) 0.1 0.2 0.3 0.4

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. ,6x dx u = ...

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Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=13q+600​, find the marginal profit at a q...

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Q: Solve this differential equation: dy 0.05(900 – y) dt y(0) = 50 %3D y(t) = Note this is limited grow...

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Q: se L'Hopitals's rule to find lim xIn(e* – 1).

A: Given query is to find the limit of the expression.

Q: D. Determine how long the ball is in the air.

A: To find S(t) = 0 We solve the equation,using Quadratic equation of form ax2 +bx+c = 0.

Q: ng If C(t) = 62.5t e -0.19t , of a drug in a person's system t hours after the drug is administered,...

A: Given problem:- If C(t) = 62.5te-0.19t measures the concentration, in ng/ml of a drug in a person's ...